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Finding the Third Proportional to 176,946.19 and 384,994.69

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Solution

The third proportional to 176,946.19 and 384,994.69 is: 837,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,946.19 : 384,994.69 = 384,994.69 : x
  2. Step 2: Convert to fraction form
    176,946.19/384,994.69 = 384,994.69/x
  3. Step 3: Cross multiply
    176,946.19x = 384,994.69 × 384,994.69
  4. Step 4: Simplify right side
    176,946.19x = 148,220,909,403.22
  5. Step 5: Solve for x
    x = 148,220,909,403.22/176,946.19
  6. Step 6: Final answer
    x = 837,660.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.